Answer:
The length of a side of the flag is 7.2inches
Step-by-step explanation:
Let length = x
Let hypotenuse = x+3
Using Pythagoras' Theorem:
x^2 + x^2 = (x+3)^2
x^2 + x^2 = x^2 + 6x + 9
2x^2 = x^2 + 6x + 9
×^2 - 6x - 9 = 0

x=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
×=[6+sqrt.72]/2
×=7.2inches
×=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
x=[6-sqrt.72]/2
×=-1.2(rej)
(PS. sqrt is square root)
(Correct me if i am wrong)
Answer:
D. (-9)+9=0
Step-by-step explanation:
Additive inverse means that the sum of the original number and its Additive inverse must add upto 0. In this case, if we add -9 and 9 then we get 0. That's why D is the correct answer.
Answer:
Please delete this I accidentally did this
Step-by-step explanation:
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.